[PDF] Top 20 Existence of periodic solutions for p Laplacian neutral Rayleigh equation

... They established sufficient conditions for the existence of a T -periodic solution of (.). But their conclusions are founded on the prerequisite  T (g(x(t – τ (t))) + e(t))dt = , which does not satisfy ... See full document

... the periodic solution of p-Laplacian Neumann problem ...periodic solutions. Then, by passing to a limit process, we obtain the existence of nontrivial nonnegative periodic ... See full document

... a periodic time scale which has the subspace topology inherited from the standard topology on ...the existence of periodic solutions for such equations, which generalize many known results for ... See full document

... + p(t)x 00 (t) + q(t)x 0 (t) + r(t)x(t) = f (t, x (t) , x(t − τ(t))) + c(t)x 0 (t − τ ...where p, q, r are continuous real-valued ...the existence of positive periodic solutions, we ... See full document

... The existence of periodic solutions for the third-order differential equation ˙ x ¨ + ω 2 x ˙ = µF (x, x, ˙ x) ¨ is ...this equation in order to reduce it to a second-order nonlinear ... See full document

... This paper is concerned with the prescribed mean curvature Liénard type p-Laplacian equation with two arguments. By employing Mawhin’s coincidence degree theorem and the analysis techniques, some new ... See full document

... the periodic problem of second-order differential equations with singularities has been widely ...the existence of periodic solutions suggested by the two fundamental examples (α > 0, and h ... See full document

... exist periodic solutions for problem () have been discovered in literature, see, for example, the references ...following existence theorem for () under the ‘local superquadratic ... See full document

... the periodic solutions of the system (1.1). Some existence results are obtained by using the least action principle and minimax meth- ods in critical point ... See full document

... The periodic solution theory of differential equation and difference equation has impor- tant academic value and application ...the periodic solutions of neutral difference ... See full document

... it follows that problem (.) admits a solution. It is easily seen that the result of [] cannot be applied to this case. Note that one can also obtain the solvability of (.) in this case by the result of [], while ... See full document

... (see [] and the references therein). The interest in studying the equations with a singular- ity began with some work of Forbat and Huaux []. Later, the interest in such problem was renewed by Gordon in [, ], and ... See full document

... tinuation theorem, the author proved that Eq. (1.1) has at least one T-periodic solution. Zhang’s work has attracted much attention of many specialists in differential equations. In 2014, Wang [2] investigated the ... See full document

... φ u (t) + f t, u (t) + g t, u(t) = e(t). (.) By using the Manásevich-Mawhin continuation theorem and some analysis techniques, the authors established a sufficient condition for the existence and uniqueness of ... See full document

... the existence of a periodic solution for a p-Laplacian neu- tral Rayleigh equation with singularity of attractive ...a periodic solution for equation ... See full document

... to neutral differential equations or neutral dif- ferential equations with repulsive ...the neutral differential equation with linear autonomous difference operator work on at- tractive and ... See full document

... the periodic solutions for p−Laplacian differential equation with singular forces of attractive ...the existence of periodic solutions are ... See full document

... the equation had no T -periodic ...upper solutions [–], the Poincaré- Birkhoff twist theorem [–], topological degree theory [, ], the Schauder fixed point theorem [–], the Leray-Schauder ... See full document

... the existence of periodic solutions for a p-Laplacian differential equa- tion was extensively studied (see [–] and the references ...differential equation; see [–]. In [], ... See full document

... the existence of periodic solutions of second-order neutral differential equations (see [1, 3–5, 7, 9, 11–13, ...the existence of periodic solutions for a ... See full document